x-1+x+5+x=2(x-3)+2(x-1)

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Solution for x-1+x+5+x=2(x-3)+2(x-1) equation:


Simplifying
x + -1 + x + 5 + x = 2(x + -3) + 2(x + -1)

Reorder the terms:
-1 + 5 + x + x + x = 2(x + -3) + 2(x + -1)

Combine like terms: -1 + 5 = 4
4 + x + x + x = 2(x + -3) + 2(x + -1)

Combine like terms: x + x = 2x
4 + 2x + x = 2(x + -3) + 2(x + -1)

Combine like terms: 2x + x = 3x
4 + 3x = 2(x + -3) + 2(x + -1)

Reorder the terms:
4 + 3x = 2(-3 + x) + 2(x + -1)
4 + 3x = (-3 * 2 + x * 2) + 2(x + -1)
4 + 3x = (-6 + 2x) + 2(x + -1)

Reorder the terms:
4 + 3x = -6 + 2x + 2(-1 + x)
4 + 3x = -6 + 2x + (-1 * 2 + x * 2)
4 + 3x = -6 + 2x + (-2 + 2x)

Reorder the terms:
4 + 3x = -6 + -2 + 2x + 2x

Combine like terms: -6 + -2 = -8
4 + 3x = -8 + 2x + 2x

Combine like terms: 2x + 2x = 4x
4 + 3x = -8 + 4x

Solving
4 + 3x = -8 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
4 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
4 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -1x = -8 + 0
4 + -1x = -8

Add '-4' to each side of the equation.
4 + -4 + -1x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -8 + -4
-1x = -8 + -4

Combine like terms: -8 + -4 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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